MATH 2020 Geometry for Middle Grades Teachers

Review and extensions of Euclidian geometry, with an emphasis on constructions, practical applications, and fundamental proofs.

Credits

3

Prerequisite

Successful completion of at least one mathematics course numbered 2000 or above; familiarity with high school level geometry.

Typically Offered

Athens Campus: odd fall evening — Demorest Campus: even spring day

Student Learning Outcomes

Upon the completion of this course, students will be able to demonstrate the following outcome-based learning skills:

1. Perform proper geometric constructions with a compass and straightedge.
2. Perform proper geometric constructions on The Geometer’s Sketchpad dynamic geometry software.
3. Generate informal geometric proofs.
4. Know the relationship of geometry to artistic forms of the mandala and perspective drawing.
5. Know the classic geometrical constructions such as the regular polygons, the golden rectangle, and related spirals.
6. Know the relationship of geometry to number through the relationships of mean proportional, square root, squared length.
7. Know the projections and alternative approximate constructions of the conic sections.